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arXiv · 1510.00430

Closed symmetric 3-differentials on complex surfaces

Federico Buonerba·Dmitry Zakharov
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Abstract

We give a necessary and sufficient condition for a non-degenerate symmetric 3-differential with nonzero Blaschke curvature on a complex surface to be locally representable as a product of three closed holomorphic 1-forms. We give two versions of this condition corresponding to different choices of coordinates, one of which defines a coordinate-free differential operator, answering a question of Bogomolov and de Oliveira.

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Federico Buonerba, Dmitry Zakharov. 2015-10-01. Closed symmetric 3-differentials on complex surfaces. https://arxiv.org/abs/1510.00430

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